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Simplifying 3 = -1m + 47(m + 6) Reorder the terms: 3 = -1m + 47(6 + m) 3 = -1m + (6 * 47 + m * 47) 3 = -1m + (282 + 47m) Reorder the terms: 3 = 282 + -1m + 47m Combine like terms: -1m + 47m = 46m 3 = 282 + 46m Solving 3 = 282 + 46m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-46m' to each side of the equation. 3 + -46m = 282 + 46m + -46m Combine like terms: 46m + -46m = 0 3 + -46m = 282 + 0 3 + -46m = 282 Add '-3' to each side of the equation. 3 + -3 + -46m = 282 + -3 Combine like terms: 3 + -3 = 0 0 + -46m = 282 + -3 -46m = 282 + -3 Combine like terms: 282 + -3 = 279 -46m = 279 Divide each side by '-46'. m = -6.065217391 Simplifying m = -6.065217391
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